Pith Number

pith:JRKZPTXI

pith:2015:JRKZPTXIPGMH3WRZW7CCATI2N3

not attested not anchored not stored refs pending

A simplicial complex is uniquely determined by its set of discrete Morse functions

Elias Gabriel Minian, Nicolas Ariel Capitelli

arxiv:1509.07457 v1 · 2015-09-24 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRKZPTXIPGMH3WRZW7CCATI2N3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:32:08.906755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5597cee879987dda39b7c4204d1a6ef73c7ecae65c8dff3173dfb1165f4b18

Aliases

arxiv: 1509.07457 · arxiv_version: 1509.07457v1 · doi: 10.48550/arxiv.1509.07457 · pith_short_12: JRKZPTXIPGMH · pith_short_16: JRKZPTXIPGMH3WRZ · pith_short_8: JRKZPTXI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JRKZPTXIPGMH3WRZW7CCATI2N3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4c5597cee879987dda39b7c4204d1a6ef73c7ecae65c8dff3173dfb1165f4b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fac73dcac8abeaad19d8687ffd442e6aa8e7589de67fe43b0c009ab27c36086",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-24T18:03:56Z",
    "title_canon_sha256": "7a7f050639e42f7438aa423f378819b66991a694952f780fa82ee7b75819e52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07457",
    "kind": "arxiv",
    "version": 1
  }
}